Finding the Third Proportional to 2,738.81 and 4,110.12

Step by Step Solution

1. Step 1: Write the proportion equation
   2,738.81 : 4,110.12 = 4,110.12 : x
2. Step 2: Convert to fraction form
   2,738.81/4,110.12 = 4,110.12/x
3. Step 3: Cross multiply
   2,738.81x = 4,110.12 × 4,110.12
4. Step 4: Simplify right side
   2,738.81x = 16,893,063.29
5. Step 5: Solve for x
   x = 16,893,063.29/2,738.81
6. Step 6: Final answer
   x = 6,168.02